Composition operators: Hyperinvariant subspaces, quasi-normals and isometries
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- by Bruce A. Cload
- Proc. Amer. Math. Soc. 127 (1999), 1697-1703
- DOI: https://doi.org/10.1090/S0002-9939-99-04663-8
- Published electronically: February 11, 1999
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Abstract:
We exhibit hyperinvariant subspaces of some composition operators. We also consider quasi-normal composition operators and discuss the commutant of isometric composition operators.References
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Bibliographic Information
- Bruce A. Cload
- Affiliation: Department of Mathematics, Brock University, St. Catharines, Ontario, Canada L2S 3A1
- Email: bcload@spartan.ac.brocku.ca
- Received by editor(s): May 13, 1997
- Received by editor(s) in revised form: September 8, 1997
- Published electronically: February 11, 1999
- Additional Notes: The results in this paper are part of the author’s doctoral thesis under the direction of Peter Rosenthal at the University of Toronto. The author would like to thank NSERC for their support as well as the referee for his kind comments and helpful suggestions.
- Communicated by: Theodore W. Gamelin
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1697-1703
- MSC (1991): Primary 47B38; Secondary 47A15, 47B06, 47B20
- DOI: https://doi.org/10.1090/S0002-9939-99-04663-8
- MathSciNet review: 1476125